What is the Least Common Multiple of 49717 and 49728?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 49717 and 49728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49717 and 49728, than apply into the LCM equation.

GCF(49717,49728) = 1
LCM(49717,49728) = ( 49717 × 49728) / 1
LCM(49717,49728) = 2472326976 / 1
LCM(49717,49728) = 2472326976

Least Common Multiple (LCM) of 49717 and 49728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49717 and 49728. First we will calculate the prime factors of 49717 and 49728.

Prime Factorization of 49717

Prime Factorization of 49728

Now multiplying the highest exponent prime factors to calculate the LCM of 49717 and 49728.

LCM(49717,49728) = 83¹ × 599¹ × 2⁶ × 3¹ × 7¹ × 37¹
LCM(49717,49728) = 2472326976